The Fixation Index, commonly referred to as FST, is a measure used in population genetics to quantify the degree of genetic differentiation between populations. Specifically, it reflects the proportion of genetic variance that can be attributed to differences between populations compared to the total genetic variance within and among those populations. FST values range from 0 to 1: - An FST of 0 indicates that there is no genetic differentiation between populations, suggesting that they are genetically identical or very similar.
Geopotential is a term used in geodesy, meteorology, and various fields of geophysical sciences to describe the potential energy per unit mass of an object due to its position within a gravitational field. The geopotential at a given point in space is a measure of the work done against gravity to move a mass from a reference level (usually sea level) to that point.
Circuit topology refers to the arrangement and interconnection of components in an electrical or electronic circuit. It describes how the various elements of a circuit—such as resistors, capacitors, inductors, and active devices like transistors and operational amplifiers—are connected to each other and to the power supply.
Integrodifference equations are a type of mathematical equation used to model discrete-time processes where dynamics are influenced by both local and non-local (or distant) interactions. These equations are particularly useful in various fields such as population dynamics, ecology, and spatial modeling where the future state of a system depends not only on its current state but also on the states of neighboring systems or regions.
The Journal of Biological Dynamics is a scientific journal that focuses on the mathematical and computational modeling of biological phenomena. It publishes research articles that explore theoretical and applied aspects of dynamics in biological systems, including but not limited to population dynamics, ecological interactions, disease dynamics, and the modeling of biological processes. The journal serves as a platform for researchers to share their findings and methodologies, often emphasizing interdisciplinary approaches that combine biology, mathematics, and computational techniques.
The Population Balance Equation (PBE) is a mathematical formulation used to describe the dynamics of a population of particles or entities as they undergo various processes such as growth, aggregation, breakage, and interactions. It is widely used in fields like chemical engineering, materials science, pharmacology, and environmental engineering to model systems involving dispersed phases, such as aerosols, emulsions, or biological cells.
"Crucifixion (Corpus Hypercubus)" is a notable painting created by the Spanish artist Salvador Dalí in 1954. The work is considered one of Dalí's masterpieces and is emblematic of his surrealist style, which combines dream-like imagery with complex symbolism. In this painting, Christ is depicted on a cross that resembles a hypercube, or tesseract, which is a four-dimensional geometric shape.
The term "axiom" generally refers to a fundamental principle or starting point that is accepted as true without proof, serving as a foundation for further reasoning or arguments. Axioms are commonly used in mathematics and logic to establish a framework for a theory or system. In mathematics, for example, axioms are the basic assumptions upon which theorems are derived. For instance, in Euclidean geometry, the parallel postulate is an axiom that leads to various geometric propositions.
Blum's axioms are a set of axioms proposed by Manuel Blum, a prominent computer scientist, in the context of the theory of computation and computational complexity. Specifically, these axioms are designed to define the concept of a "computational problem" and provide a formal foundation for discussing the time complexity of algorithms. The axioms cover fundamental aspects that any computational problem must satisfy in order to be considered within the framework of complexity theory.
Paul G. Mezey is an American physicist known for his work in the fields of condensed matter physics and materials science. He has made significant contributions to the understanding of the physical properties of complex materials, particularly in areas such as phase transitions, crystal structures, and electronic properties. Mezey is also recognized for his research on computational methods and theoretical models that help in the analysis and prediction of material behaviors.
Haruo Hosoya is a Japanese mathematician known for his work in the field of mathematical biology, graph theory, and combinatorics. One of his significant contributions is the Hosoya index, a topological descriptor used in chemistry to characterize the structure of molecular graphs. The Hosoya index counts the number of different walks in a graph, which can relate to various properties of the molecules represented by those graphs.
Michael Rosenzweig is an American biologist and a professor renowned for his contributions to the field of evolutionary biology and ecology. He is particularly known for his work on biodiversity, community ecology, and the theory of species coexistence. Rosenzweig's research often incorporates mathematical models and empirical data to understand how species interactions and environmental factors influence biodiversity patterns. He has also contributed to broader discussions in the field regarding conservation strategies and the implications of human impact on ecosystems.
In chess, each piece has a relative value that helps players assess their strength and importance during the game. These values are not absolute but serve as guidelines for evaluating trades and strategic decisions.
The Mutilated Chessboard Problem is a classic problem in combinatorial mathematics and recreational mathematics. The problem is often presented as follows: Imagine a standard 8x8 chessboard, which has 64 squares. If you remove two opposite corners of the chessboard, can you cover the remaining 62 squares completely with dominoes, where each domino covers exactly two adjacent squares?
MathSciNet is an online database and review service that provides access to a vast collection of mathematical literature. It is produced by the American Mathematical Society (AMS) and is widely used by researchers, mathematicians, and students in the field of mathematics. Key features of MathSciNet include: 1. **Bibliographic Information**: It includes bibliographic data for over three million articles, books, and other mathematical documents.
As of my last update in October 2023, Erik Rauch does not appear to be a widely recognized figure in popular culture, politics, science, or other notable fields. It's possible that Erik Rauch could refer to a local or lesser-known individual, a fictional character, or a name that emerged after my last update.
Graeme Ruxton is a biologist known for his work in ecology and evolution. He is particularly recognized for his research on animal behavior, the dynamics of predator-prey interactions, and the principles of evolutionary ecology. Ruxton's contributions often focus on modeling and understanding various biological phenomena through mathematical and theoretical approaches. He has published numerous academic papers and is involved in educational activities, often emphasizing the importance of ecological principles in understanding biological systems.
Lee R. Dice is known primarily for his contributions to the field of biology, particularly in relation to population genetics and evolutionary biology. His work often focused on the mathematical modeling of biological processes and the study of how genetic variations occur within populations. Dice is also recognized for his development of techniques in the study of genetic variability and his research on the role of genetic drift in evolution.
Richard Levins is an influential American ecologist, mathematician, and theorist known for his work in the fields of population biology, theoretical ecology, and the philosophy of science. He is best recognized for his contributions to the understanding of model building in ecology and the use of mathematical models to analyze biological systems.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact